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Simplifying 6(a + -2) = 8 + -2a Reorder the terms: 6(-2 + a) = 8 + -2a (-2 * 6 + a * 6) = 8 + -2a (-12 + 6a) = 8 + -2a Solving -12 + 6a = 8 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. -12 + 6a + 2a = 8 + -2a + 2a Combine like terms: 6a + 2a = 8a -12 + 8a = 8 + -2a + 2a Combine like terms: -2a + 2a = 0 -12 + 8a = 8 + 0 -12 + 8a = 8 Add '12' to each side of the equation. -12 + 12 + 8a = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 8a = 8 + 12 8a = 8 + 12 Combine like terms: 8 + 12 = 20 8a = 20 Divide each side by '8'. a = 2.5 Simplifying a = 2.5
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